218070468 has 120 divisors (see below), whose sum is σ = 710829504. Its totient is φ = 56635200.

The previous prime is 218070449. The next prime is 218070473. The reversal of 218070468 is 864070812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20578 + ... + 29318.

Almost surely, 2^218070468 is an apocalyptic number.

218070468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218070468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355414752).

218070468 is an abundant number, since it is smaller than the sum of its proper divisors (492759036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218070468 is a wasteful number, since it uses less digits than its factorization.

218070468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 218070468 is about 14767.2092150142. The cubic root of 218070468 is about 601.9110069587.

The spelling of 218070468 in words is "two hundred eighteen million, seventy thousand, four hundred sixty-eight".